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Finding the Fourth Proportional to 15,711.38, 21,681.74 and 8,637.85

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Solution

The fourth proportional to 15,711.38, 21,681.74 and 8,637.85 is: 11,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.38 : 21,681.74 = 8,637.85 : x
  2. Step 2: Convert to fraction form
    15,711.38/21,681.74 = 8,637.85/x
  3. Step 3: Cross multiply
    15,711.38x = 21,681.74 × 8,637.85
  4. Step 4: Simplify right side
    15,711.38x = 187,283,520.47
  5. Step 5: Solve for x
    x = 187,283,520.47/15,711.38
  6. Step 6: Final answer
    x = 11,920.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.